54 citations · 181 across the 13 of their papers we have counts for
13 papers
First considerations on the generalized uncertainty principle for finite-dimensional discrete phase spaces
Marcelo A Marchiolli, Maurizio Ruzzi
Generalized uncertainty principle and breakdown of the spacetime continuum certainly represent two important results derived of various approaches related to quantum gravity and bl…
Algebraic properties of Rogers-Szego functions: I. Applications in quantum optics
M A Marchiolli, M Ruzzi, D Galetti
By means of a well-established algebraic framework, Rogers-Szego functions associated with a circular geometry in the complex plane are introduced in the context of q-special funct…
A squeezing formalism for finite dimensional quantum systems
M. Ruzzi
This article presents a squeezing transformation for quantum systems associated to finite vector spaces. The physical idea of squeezing here is taken from the action of the usual s…
Discrete squeezed states for finite-dimensional spaces
Marcelo A. Marchiolli, Maurizio Ruzzi, Diogenes Galetti
We show how discrete squeezed states in an -dimensional phase space can be properly constructed out of the finite-dimensional context. Such discrete extensions are then appl…
Jacobi Theta-functions and Discrete Fourier Transforms
M. Ruzzi
Properties of the Jacobi Theta3-function and its derivatives under discrete Fourier transforms are investigated, and several interesting results are obtained. The role of modulo N…
Quasiprobability distribution functions for periodic phase-spaces: I. Theoretical Aspects
M. Ruzzi, M. A. Marchiolli, E. C. Silva +1
An approach featuring -parametrized quasiprobability distribution functions is developed for situations where a circular topology is observed. For such an approach, a suitable s…